I put in a paloma tankless from home depot myself about two years ago when my hot water heater bit the dust. My wife did notice a savings on the propane bill, but the price jumped soon after that so now my bill comes out to a draw. I also have a gas stove and dryer, but my wife uses the clothes line during the sumer to save gas.
I like the remote thermostat on the paloma, my 6 yr old can take her showers without any worry of scalding because the thermostat keeps the water at 106 all the time, it also makes it very easy to run a bath for my 4yr old when you can turn the water on and not have to keep testing the temp, and when we wash the baby we set the water temp to 100 and don’t have to worry about burning her, the only time we turn up the temp to 120 (max) is to do the dishes. And when my wife wants to have the washer fill faster she sets it to the hot/cold water setting and turns off the thermostat so the water heater doesn’t come on. The thermostat is mounted in my bathroom within easy reach of the shower for quick temp increases (up to 110 only if the heater is firing).
I put the paloma in my basement where the old 40 gal tank powervent unit came out of to simplify plumbing as my kitchen is at the other end of the house. the paloma also has an internal freeze protection using an electric element and a burn through detector built in. in the end the paloma came out to about $850 with all the fittings needed to install it. A direct replacement tank heater was $699 for 40 gal and would have been more to go up to a 50 or 60 gal tank which I was planning on doing.
I am on municipal water so pressure is constant even if it is lower as I am on the end of the system. I sometimes get small temperature spikes (not burning hot) when the kitchen hot is turned on momentarily during a shower.
